Try to imagine this word problem, there is a wall and a ladder leaning against it, the space from the bottom of the ladder is labeled 6 and the length of the height the ladder reaches on the wall is 8. Imagine this as a right triangle now, where the length of the ladder is the hypotenuse and the length of the legs of the triangle is 6 and 8. Because we know this, we can use the Pythagorean theorem, a^2+b^2=c^2
We then plug in the values and you get 6^2+8^2=c^2
When you simplify, you get 36+64=c^2 which is c^2=100
When you solve for c, you get c=10 which would be the length of the ladder :)
The answer is the second option, option B, which is: B. <span>W'(2,8), X'(2,2), Y'(8,2)
</span> The explanation is shown below:
You have the Triangle WXY has coordinates W(1,4), X(1,1), and Y(4,1) and the Triangle of the option B has coordinates W'(2,8), X'(2,2), Y'(8,2). As you can notice, the coordinates of the new triangle are the result of multiply the coordinates of the original triangle by a scale of factor of 2. Therefore, in other words, the Triangle WXY was dilated with a scale of factor of 2.
Answer:
x= 21
y= 3
z= 21
Step-by-step explanation:
Let the center be O,
=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"
=> Line AC is divided in two equal parts by the center so if AO= 21 then
7y = 21, and thus "y = 3"
=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"
so... you tells us, which filling rate is the bigger and thus faster one?
The answer to your question is k and m are both 9
